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Finding the Fourth Proportional to 3,805.57, 5,706.87 and 2,248.75

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Solution

The fourth proportional to 3,805.57, 5,706.87 and 2,248.75 is: 3,372.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,805.57 : 5,706.87 = 2,248.75 : x
  2. Step 2: Convert to fraction form
    3,805.57/5,706.87 = 2,248.75/x
  3. Step 3: Cross multiply
    3,805.57x = 5,706.87 × 2,248.75
  4. Step 4: Simplify right side
    3,805.57x = 12,833,323.91
  5. Step 5: Solve for x
    x = 12,833,323.91/3,805.57
  6. Step 6: Final answer
    x = 3,372.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.